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Austin Crosby
Mathematics
27 May, 14:57
F (x) = 3x^4 is even or odd?
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Emmett Small
27 May, 15:07
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Step-by-step explanation:
it's even because f (-x) = f (x)
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Kyra Mendez
27 May, 15:21
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even function
Step-by-step explanation:
recall that:
a function is EVEN if and only if f (-x) = f (x) for all x in the domain of f
a function is ODD if and only if f (-x) = - f (x) for all x in the domain of f
we observe that for the function
f (x) = 3x^4
because x has been raised to an even power, that f (x) will always be positive (or zero), regardless of whether x is negative or positive.
i. e
f (x) = f (x) and f (-x) = f (x)
This behavior is described by the definition of an EVEN function (given above)
Hence f (x) is an even function
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